### Data Sufficiency

#### Directions

In each of the problems, a question is followed by two statements containing certain data. You are to determine whether the data provided by the statements is sufficient to answer the question.

- A. if statement (1) by itself is sufficient to answer the question, but statement (2) by itself is not;
- B. if statement (2) by itself is sufficient to answer the question, but statement (1) by itself is not;
- C: if statements (1) and (2) taken together are sufficient to answer the question, even though neither statement by itself is sufficient;
- D. if either statement by itself is sufficient to answer the question;
- E. if statements (1) and (2) taken together are not sufficient to answer the question, requiring more data pertaining to the problem

If 2*b* - *a*^{2} = 18, what is the value of *b*?

**(1)** *a*^{2} = 1,156

**(2)** *a* > 0

What is the value of the integer *p*?

**(1)** *p *is a prime number.

**(2)** 88 ≤ * p* ≤ 95

If *y* > 0 , is *x* less than 0?

**(1)** *xy* = 16

**(2)** *x* - *y* = 6

What is the value of *x*?

**(1)** *x*^{2} - 9 = 16

**(2)** 3*x* (*x* - 5) = 0

If a coffee shop sold 600 cups of coffee, some of which were large cups and the remainder of which were small cups, what was the revenue that the coffee shop earned from the sale of coffee?

**(1)** The number of large cups sold was ^{3}/_{5} the total number of small cups sold.

**(2)** The price of a small cup of coffee was $1.50.